MATLAB Implementation of Convolutional Code (2, 1, 3) Encoder and Decoder

This article presents a comprehensive guide to implementing convolutional code (2, 1, 3) encoding and decoding using MATLAB. Convolutional codes are forward error correction codes that enhance data transmission reliability by correcting errors during channel transmission. We provide detailed explanations of convolutional code principles with practical examples to facilitate understanding. The implementation includes MATLAB code for both encoding and decoding processes, utilizing key functions like convenc for encoding and vitdec for Viterbi decoding. The program demonstrates how to handle constraint length 3, code rate 1/2 convolutional codes with proper trellis structure initialization. Code explanations cover algorithm implementation, including how to configure the trellis pattern, process input sequences, and manage decoding parameters for optimal performance. Through this tutorial, readers will gain practical skills in convolutional code applications and MATLAB programming techniques for communication systems. The included code examples feature error handling and performance verification methods to ensure robust implementation.